Question

If the mass of the car is 1800 kg and if the car travels with the velocity of 30 metre per second and if the brakes were applied the average force of the car was 6000 Newton then find the distance of the car before the brakes were applied.

Answer 1

Given :-

• m = 1000 kg
• u = 30 m/s
• F = 6000 N
• v = 0 m/s

To find :-

• Distance travelled

Solution :-

To find distance travelled, we first need to find acceleration -

Calculating Acceleration :-

Force = Mass × Acceleration

6000 = 1000 × a

a = -6 m/s²

Calculating distance travelled :-

• v = 0 m/s
• u = 30 m/s
• a = -6 m/s²

Substituting the value in 3rd equation of motion :-

v² = u² + 2as

0 = 30² - 2 (6)(s)

900 = 12s

s = 900/12

s = 75 m

Distance travelled = 75 m